Inverted frutterfly: Difference between revisions
{{Symmetry|180degree}} |
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{{Oscillator | {{Oscillator | ||
|name | |name = Inverted frutterfly | ||
|pname | |pname = invertedfrutterfly | ||
|c | |c = 22 | ||
|bx | |bx = 12 | ||
|by | |by = 10 | ||
|p | |p = 4 | ||
|m | |m = 4 | ||
|h | |h = 18 | ||
|v | |v = 0.86 | ||
|sv | |sv = 0.86 | ||
|rulemin | |symmetry = .k | ||
|rulemax | |rulemin = B3/S23 | ||
|rulespecial | |rulemax = B3678/S02378 | ||
|isorulemin | |rulespecial = [[Conway's Game of Life|Conway Life]], {{rl|HighLife}} | ||
|isorulemax | |isorulemin = B3-ckqy/S2-n3aqr | ||
|synthesis | |isorulemax = B2in34cejqrw5-jr678/S0234-arz5-i6-a78 | ||
|plaintext | |synthesis = 8 | ||
|rle | |plaintext = true | ||
|apgcode | |rle = true | ||
|viewerconfig | |apgcode = xp4_1770e6zy0ce0ssg | ||
|viewerconfig = #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 3 ZOOM 30 GPS 4 ]] | |||
}} | }} | ||
'''Inverted frutterfly''' is a {{period|4}} [[oscillator]], and is among the smallest true-period-4 oscillators not based on [[mold]]. | '''Inverted frutterfly''' is a {{period|4}} [[oscillator]], and is among the smallest true-period-4 oscillators not based on [[mold]]. | ||
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== Occurrence == | == Occurrence == | ||
This oscillator has not occurred in an asymmetric soup as of | This oscillator has not occurred in an asymmetric soup {{as of|October 2024}}, but has in asymmetrical ash far from the centre in a C2_1 - a symmetry not conducive to this oscillator - soup found by [[Charity Engine]] on 2022-06-16.<ref name="xp4_1770e6zy0ce0ssg-occurrence"/> | ||
== Glider synthesis == | == Glider synthesis == | ||
The smallest known [[glider synthesis]] of this, as of | The smallest known [[glider synthesis]] of this, {{as of|October 2024}}, requires eight gliders. | ||
== See also == | == See also == | ||
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* {{LinkCatagolue|xp4_1770e6zy0ce0ssg}} | * {{LinkCatagolue|xp4_1770e6zy0ce0ssg}} | ||
__NOTOC__ | __NOTOC__ | ||
Latest revision as of 20:13, 7 June 2026
| Inverted frutterfly | |||||||||
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| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 22 | ||||||||
| Bounding box | 12 × 10 | ||||||||
| Period | 4 (mod: 4) | ||||||||
| Heat | 18 | ||||||||
| Volatility | 0.86 | 0.86 | ||||||||
| Kinetic symmetry | .k | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | Unknown | ||||||||
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Inverted frutterfly is a period-4 oscillator, and is among the smallest true-period-4 oscillators not based on mold.
Much like the frutterfly, it can nontrivially react with many small still lifes as to produce larger period-4 oscillators.
Relation to other oscillators
Inverted frutterfly is easily seen to be closely related to frutterfly, in which both halves are mirrored instead of rotated.
Inverted frutterfly is also remarkably similar to 20P4, with one phase even being composed of the exact same "four Ls", arranged slightly differently; the phases then differ by one cell in the next generation, then three, then five. The connection in inverted frutterfly is two cells wide instead.
| Inverted frutterfly in center, with one frutterfly on each side for comparison (click above to open LifeViewer) |
| 20P4 on left, inverted frutterfly on right (click above to open LifeViewer) |
Occurrence
This oscillator has not occurred in an asymmetric soup as of October 2024, but has in asymmetrical ash far from the centre in a C2_1 - a symmetry not conducive to this oscillator - soup found by Charity Engine on 2022-06-16.[1]
Glider synthesis
The smallest known glider synthesis of this, as of October 2024, requires eight gliders.
See also
References
External links
- Patterns
- Oscillators with 22 cells
- Periodic objects with minimum population 22
- Patterns with 22 cells
- Patterns that can be constructed with 8 gliders
- Oscillators
- Oscillators with period 4
- Oscillators with mod 4
- Oscillators with heat 18
- Oscillators with volatility 0.86
- Oscillators with strict volatility 0.86
- Oscillators with .k symmetry